Search: id:A132039
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%I A132039
%S A132039 1,1,2,8,74,2122,267292,194323504,980945301116,39560543100700028,
%T A132039 14356125485861852659544,52095666080476161483596777824,
%U A132039 2079492908949143825845786572097662328
%N A132039 E.g.f.: A(x) = Sum_{n>=0} a(n)*x^n/n! = exp( Sum_{n>=0} a(n)*x^(n+1)/
               (n+1) ) with a(0) = 1.
%F A132039 a(n+1) = Sum_{k=0..n} n!/k!*a(k)*a(n-k). - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Jul 08 2008
%e A132039 E.g.f.: A(x) = 1 + 1x + 2x^2/2! + 8x^3/3! + 74x^4/4! + 2122x^5/5! +...;
%e A132039 E.g.f.: A(x) = exp(x + 1x^2/2 + 2x^3/3 + 8x^4/4 + 74x^5/5 + 2122x^6/6 
               +...) .
%o A132039 (PARI) {a(n)=if(n==0,1,n!*polcoeff(exp(sum(k=0,n-1,a(k)*x^(k+1)/(k+1))+x^2*O(x^n)),
               n))}
%Y A132039 Sequence in context: A012998 A143760 A064605 this_sequence A002668 A093062 
               A057984
%Y A132039 Adjacent sequences: A132036 A132037 A132038 this_sequence A132040 A132041 
               A132042
%K A132039 nonn
%O A132039 0,3
%A A132039 Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2007

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